Three charges are arranged as shown in the figure below. Find the magnitude and

Question

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q 5.04 nC at the origin. (Let r12a 235 m.) magnitude Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. N direction Your incorrect answer may have resulted from roundoff error.Make sure you keep extra significant figures in intermediate steps of your calculation. counterclockwise from the tx-axis 6,00 nC i2 0.100 m -3.00 nC

Explanation / Answer

The charge q2 extracts a repulsive force,F12 on q1

F12 =k×q1×q2/(r12)^2

Putting the values in this equation ,

We get, . F12=4.928×10^-6 N

The negative charge q3 exerts an attractive force F13 on q1

F13=k×q1×q3/(r13)^2

F13 =1.3608×10^-5 N

The maginutude of resultant of F12 and F13

Fr =?(F12)^2 +(F13)^2 =1.447 ×10^-5 N

The angle that Fr makes with horizontal is

Theta =tan inverse (F13/F12) =70.09° degrees

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